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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM022+4 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.z8ERK4ZRoy true

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:30:36 PM UTC 2025

% Result   : Theorem 0.58s 0.93s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   36 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :  269 (  53 equ;   0 cnn)
%            Maximal formula atoms :   96 (   7 avg)
%            Number of connectives :  808 (  30   ~; 101   |; 126   &; 545   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   6 con; 0-3 aty)
%            Number of variables   :   41 (   0   ^;   3   !;  38   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(aNormalFormOfIn0_type,type,
    aNormalFormOfIn0: $i > $i > $i > $o ).

thf(sdtmndtasgtdt0_type,type,
    sdtmndtasgtdt0: $i > $i > $i > $o ).

thf(xa_type,type,
    xa: $i ).

thf(xb_type,type,
    xb: $i ).

thf(aReductOfIn0_type,type,
    aReductOfIn0: $i > $i > $i > $o ).

thf(xR_type,type,
    xR: $i ).

thf(xc_type,type,
    xc: $i ).

thf(sk__24_type,type,
    sk__24: $i ).

thf(sdtmndtplgtdt0_type,type,
    sdtmndtplgtdt0: $i > $i > $i > $o ).

thf(m__,conjecture,
    ( ( ( ( ( aReductOfIn0 @ xb @ xa @ xR )
          | ? [W0: $i] :
              ( ( sdtmndtplgtdt0 @ W0 @ xR @ xb )
              & ( aReductOfIn0 @ W0 @ xa @ xR )
              & ( aElement0 @ W0 ) )
          | ( sdtmndtplgtdt0 @ xa @ xR @ xb ) )
        & ( ( aReductOfIn0 @ xc @ xa @ xR )
          | ? [W0: $i] :
              ( ( sdtmndtplgtdt0 @ W0 @ xR @ xc )
              & ( aReductOfIn0 @ W0 @ xa @ xR )
              & ( aElement0 @ W0 ) )
          | ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ) )
     => ? [W0: $i] :
          ( ? [W1: $i] :
              ( ? [W2: $i] :
                  ( ? [W3: $i] :
                      ( ( sdtmndtasgtdt0 @ xc @ xR @ W3 )
                      & ( ( ( sdtmndtplgtdt0 @ xc @ xR @ W3 )
                          & ( ? [W4: $i] :
                                ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
                                & ( aReductOfIn0 @ W4 @ xc @ xR )
                                & ( aElement0 @ W4 ) )
                            | ( aReductOfIn0 @ W3 @ xc @ xR ) ) )
                        | ( xc = W3 ) )
                      & ( sdtmndtasgtdt0 @ xb @ xR @ W3 )
                      & ( ( ( sdtmndtplgtdt0 @ xb @ xR @ W3 )
                          & ( ? [W4: $i] :
                                ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
                                & ( aReductOfIn0 @ W4 @ xb @ xR )
                                & ( aElement0 @ W4 ) )
                            | ( aReductOfIn0 @ W3 @ xb @ xR ) ) )
                        | ( xb = W3 ) )
                      & ( aNormalFormOfIn0 @ W3 @ W2 @ xR )
                      & ~ ? [W4: $i] : ( aReductOfIn0 @ W4 @ W3 @ xR )
                      & ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
                      & ( ( ( sdtmndtplgtdt0 @ W2 @ xR @ W3 )
                          & ( ? [W4: $i] :
                                ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
                                & ( aReductOfIn0 @ W4 @ W2 @ xR )
                                & ( aElement0 @ W4 ) )
                            | ( aReductOfIn0 @ W3 @ W2 @ xR ) ) )
                        | ( W2 = W3 ) )
                      & ( aElement0 @ W3 ) )
                  & ( sdtmndtasgtdt0 @ W1 @ xR @ W2 )
                  & ( ( ( sdtmndtplgtdt0 @ W1 @ xR @ W2 )
                      & ( ? [W3: $i] :
                            ( ( sdtmndtplgtdt0 @ W3 @ xR @ W2 )
                            & ( aReductOfIn0 @ W3 @ W1 @ xR )
                            & ( aElement0 @ W3 ) )
                        | ( aReductOfIn0 @ W2 @ W1 @ xR ) ) )
                    | ( W1 = W2 ) )
                  & ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
                  & ( ( ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
                      & ( ? [W3: $i] :
                            ( ( sdtmndtplgtdt0 @ W3 @ xR @ W2 )
                            & ( aReductOfIn0 @ W3 @ W0 @ xR )
                            & ( aElement0 @ W3 ) )
                        | ( aReductOfIn0 @ W2 @ W0 @ xR ) ) )
                    | ( W0 = W2 ) )
                  & ( aElement0 @ W2 ) )
              & ( sdtmndtasgtdt0 @ W1 @ xR @ xc )
              & ( ( ( sdtmndtplgtdt0 @ W1 @ xR @ xc )
                  & ( ? [W2: $i] :
                        ( ( sdtmndtplgtdt0 @ W2 @ xR @ xc )
                        & ( aReductOfIn0 @ W2 @ W1 @ xR )
                        & ( aElement0 @ W2 ) )
                    | ( aReductOfIn0 @ xc @ W1 @ xR ) ) )
                | ( W1 = xc ) )
              & ( aReductOfIn0 @ W1 @ xa @ xR )
              & ( aElement0 @ W1 ) )
          & ( sdtmndtasgtdt0 @ W0 @ xR @ xb )
          & ( ( ( sdtmndtplgtdt0 @ W0 @ xR @ xb )
              & ( ? [W1: $i] :
                    ( ( sdtmndtplgtdt0 @ W1 @ xR @ xb )
                    & ( aReductOfIn0 @ W1 @ W0 @ xR )
                    & ( aElement0 @ W1 ) )
                | ( aReductOfIn0 @ xb @ W0 @ xR ) ) )
            | ( W0 = xb ) )
          & ( aReductOfIn0 @ W0 @ xa @ xR )
          & ( aElement0 @ W0 ) ) )
   => ( ( ( ( xa = xb )
          | ( ( ( aReductOfIn0 @ xb @ xa @ xR )
              | ? [W0: $i] :
                  ( ( sdtmndtplgtdt0 @ W0 @ xR @ xb )
                  & ( aReductOfIn0 @ W0 @ xa @ xR )
                  & ( aElement0 @ W0 ) ) )
            & ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ) )
        & ( sdtmndtasgtdt0 @ xa @ xR @ xb )
        & ( ( xa = xc )
          | ( ( ( aReductOfIn0 @ xc @ xa @ xR )
              | ? [W0: $i] :
                  ( ( sdtmndtplgtdt0 @ W0 @ xR @ xc )
                  & ( aReductOfIn0 @ W0 @ xa @ xR )
                  & ( aElement0 @ W0 ) ) )
            & ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ) )
        & ( sdtmndtasgtdt0 @ xa @ xR @ xc ) )
     => ? [W0: $i] :
          ( ( ( sdtmndtasgtdt0 @ xc @ xR @ W0 )
            | ( sdtmndtplgtdt0 @ xc @ xR @ W0 )
            | ? [W1: $i] :
                ( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 )
                & ( aReductOfIn0 @ W1 @ xc @ xR )
                & ( aElement0 @ W1 ) )
            | ( aReductOfIn0 @ W0 @ xc @ xR )
            | ( xc = W0 ) )
          & ( ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
            | ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
            | ? [W1: $i] :
                ( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 )
                & ( aReductOfIn0 @ W1 @ xb @ xR )
                & ( aElement0 @ W1 ) )
            | ( aReductOfIn0 @ W0 @ xb @ xR )
            | ( xb = W0 ) )
          & ( aElement0 @ W0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( ( aReductOfIn0 @ xb @ xa @ xR )
            | ? [W0: $i] :
                ( ( sdtmndtplgtdt0 @ W0 @ xR @ xb )
                & ( aReductOfIn0 @ W0 @ xa @ xR )
                & ( aElement0 @ W0 ) )
            | ( sdtmndtplgtdt0 @ xa @ xR @ xb ) )
          & ( ( aReductOfIn0 @ xc @ xa @ xR )
            | ? [W0: $i] :
                ( ( sdtmndtplgtdt0 @ W0 @ xR @ xc )
                & ( aReductOfIn0 @ W0 @ xa @ xR )
                & ( aElement0 @ W0 ) )
            | ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ) )
       => ? [W0: $i] :
            ( ? [W1: $i] :
                ( ? [W2: $i] :
                    ( ? [W3: $i] :
                        ( ( sdtmndtasgtdt0 @ xc @ xR @ W3 )
                        & ( ( ( sdtmndtplgtdt0 @ xc @ xR @ W3 )
                            & ( ? [W4: $i] :
                                  ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
                                  & ( aReductOfIn0 @ W4 @ xc @ xR )
                                  & ( aElement0 @ W4 ) )
                              | ( aReductOfIn0 @ W3 @ xc @ xR ) ) )
                          | ( xc = W3 ) )
                        & ( sdtmndtasgtdt0 @ xb @ xR @ W3 )
                        & ( ( ( sdtmndtplgtdt0 @ xb @ xR @ W3 )
                            & ( ? [W4: $i] :
                                  ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
                                  & ( aReductOfIn0 @ W4 @ xb @ xR )
                                  & ( aElement0 @ W4 ) )
                              | ( aReductOfIn0 @ W3 @ xb @ xR ) ) )
                          | ( xb = W3 ) )
                        & ( aNormalFormOfIn0 @ W3 @ W2 @ xR )
                        & ~ ? [W4: $i] : ( aReductOfIn0 @ W4 @ W3 @ xR )
                        & ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
                        & ( ( ( sdtmndtplgtdt0 @ W2 @ xR @ W3 )
                            & ( ? [W4: $i] :
                                  ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
                                  & ( aReductOfIn0 @ W4 @ W2 @ xR )
                                  & ( aElement0 @ W4 ) )
                              | ( aReductOfIn0 @ W3 @ W2 @ xR ) ) )
                          | ( W2 = W3 ) )
                        & ( aElement0 @ W3 ) )
                    & ( sdtmndtasgtdt0 @ W1 @ xR @ W2 )
                    & ( ( ( sdtmndtplgtdt0 @ W1 @ xR @ W2 )
                        & ( ? [W3: $i] :
                              ( ( sdtmndtplgtdt0 @ W3 @ xR @ W2 )
                              & ( aReductOfIn0 @ W3 @ W1 @ xR )
                              & ( aElement0 @ W3 ) )
                          | ( aReductOfIn0 @ W2 @ W1 @ xR ) ) )
                      | ( W1 = W2 ) )
                    & ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
                    & ( ( ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
                        & ( ? [W3: $i] :
                              ( ( sdtmndtplgtdt0 @ W3 @ xR @ W2 )
                              & ( aReductOfIn0 @ W3 @ W0 @ xR )
                              & ( aElement0 @ W3 ) )
                          | ( aReductOfIn0 @ W2 @ W0 @ xR ) ) )
                      | ( W0 = W2 ) )
                    & ( aElement0 @ W2 ) )
                & ( sdtmndtasgtdt0 @ W1 @ xR @ xc )
                & ( ( ( sdtmndtplgtdt0 @ W1 @ xR @ xc )
                    & ( ? [W2: $i] :
                          ( ( sdtmndtplgtdt0 @ W2 @ xR @ xc )
                          & ( aReductOfIn0 @ W2 @ W1 @ xR )
                          & ( aElement0 @ W2 ) )
                      | ( aReductOfIn0 @ xc @ W1 @ xR ) ) )
                  | ( W1 = xc ) )
                & ( aReductOfIn0 @ W1 @ xa @ xR )
                & ( aElement0 @ W1 ) )
            & ( sdtmndtasgtdt0 @ W0 @ xR @ xb )
            & ( ( ( sdtmndtplgtdt0 @ W0 @ xR @ xb )
                & ( ? [W1: $i] :
                      ( ( sdtmndtplgtdt0 @ W1 @ xR @ xb )
                      & ( aReductOfIn0 @ W1 @ W0 @ xR )
                      & ( aElement0 @ W1 ) )
                  | ( aReductOfIn0 @ xb @ W0 @ xR ) ) )
              | ( W0 = xb ) )
            & ( aReductOfIn0 @ W0 @ xa @ xR )
            & ( aElement0 @ W0 ) ) )
     => ( ( ( ( xa = xb )
            | ( ( ( aReductOfIn0 @ xb @ xa @ xR )
                | ? [W0: $i] :
                    ( ( sdtmndtplgtdt0 @ W0 @ xR @ xb )
                    & ( aReductOfIn0 @ W0 @ xa @ xR )
                    & ( aElement0 @ W0 ) ) )
              & ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ) )
          & ( sdtmndtasgtdt0 @ xa @ xR @ xb )
          & ( ( xa = xc )
            | ( ( ( aReductOfIn0 @ xc @ xa @ xR )
                | ? [W0: $i] :
                    ( ( sdtmndtplgtdt0 @ W0 @ xR @ xc )
                    & ( aReductOfIn0 @ W0 @ xa @ xR )
                    & ( aElement0 @ W0 ) ) )
              & ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ) )
          & ( sdtmndtasgtdt0 @ xa @ xR @ xc ) )
       => ? [W0: $i] :
            ( ( ( sdtmndtasgtdt0 @ xc @ xR @ W0 )
              | ( sdtmndtplgtdt0 @ xc @ xR @ W0 )
              | ? [W1: $i] :
                  ( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 )
                  & ( aReductOfIn0 @ W1 @ xc @ xR )
                  & ( aElement0 @ W1 ) )
              | ( aReductOfIn0 @ W0 @ xc @ xR )
              | ( xc = W0 ) )
            & ( ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
              | ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
              | ? [W1: $i] :
                  ( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 )
                  & ( aReductOfIn0 @ W1 @ xb @ xR )
                  & ( aElement0 @ W1 ) )
              | ( aReductOfIn0 @ W0 @ xb @ xR )
              | ( xb = W0 ) )
            & ( aElement0 @ W0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl501,plain,
    sdtmndtasgtdt0 @ xa @ xR @ xc,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl510,plain,
    ( ( xa = xb )
    | ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl505,plain,
    ( ( xa = xc )
    | ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl305,plain,
    ( ( sdtmndtasgtdt0 @ xc @ xR @ sk__24 )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl663,plain,
    ( ( xa = xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
    | ( sdtmndtasgtdt0 @ xc @ xR @ sk__24 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl305]) ).

thf(zip_derived_cl667,plain,
    ( ( xa = xb )
    | ( sdtmndtasgtdt0 @ xc @ xR @ sk__24 )
    | ( xa = xc ) ),
    inference('sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl663]) ).

thf(zip_derived_cl480,plain,
    ! [X3: $i] :
      ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ X3 )
      | ~ ( sdtmndtasgtdt0 @ xb @ xR @ X3 )
      | ~ ( aElement0 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl674,plain,
    ( ( xa = xc )
    | ( xa = xb )
    | ~ ( aElement0 @ sk__24 )
    | ~ ( sdtmndtasgtdt0 @ xb @ xR @ sk__24 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl667,zip_derived_cl480]) ).

thf(zip_derived_cl510_001,plain,
    ( ( xa = xb )
    | ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl505_002,plain,
    ( ( xa = xc )
    | ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl152,plain,
    ( ( aElement0 @ sk__24 )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl532,plain,
    ( ( xa = xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
    | ( aElement0 @ sk__24 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl152]) ).

thf(zip_derived_cl547,plain,
    ( ( xa = xb )
    | ( aElement0 @ sk__24 )
    | ( xa = xc ) ),
    inference('sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl532]) ).

thf(zip_derived_cl696,plain,
    ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ sk__24 )
    | ( xa = xb )
    | ( xa = xc ) ),
    inference(clc,[status(thm)],[zip_derived_cl674,zip_derived_cl547]) ).

thf(zip_derived_cl510_003,plain,
    ( ( xa = xb )
    | ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl505_004,plain,
    ( ( xa = xc )
    | ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl260,plain,
    ( ( sdtmndtasgtdt0 @ xb @ xR @ sk__24 )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl659,plain,
    ( ( xa = xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
    | ( sdtmndtasgtdt0 @ xb @ xR @ sk__24 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl260]) ).

thf(zip_derived_cl665,plain,
    ( ( xa = xb )
    | ( sdtmndtasgtdt0 @ xb @ xR @ sk__24 )
    | ( xa = xc ) ),
    inference('sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl659]) ).

thf(zip_derived_cl697,plain,
    ( ( xa = xc )
    | ( xa = xb ) ),
    inference(clc,[status(thm)],[zip_derived_cl696,zip_derived_cl665]) ).

thf(zip_derived_cl506,plain,
    sdtmndtasgtdt0 @ xa @ xR @ xb,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl737,plain,
    ( ( sdtmndtasgtdt0 @ xc @ xR @ xb )
    | ( xa = xb ) ),
    inference('sup+',[status(thm)],[zip_derived_cl697,zip_derived_cl506]) ).

thf(zip_derived_cl476,plain,
    ! [X3: $i] :
      ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ X3 )
      | ( xb != X3 )
      | ~ ( aElement0 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl779,plain,
    ( ( xa = xb )
    | ~ ( aElement0 @ xb )
    | ( xb != xb ) ),
    inference('sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl476]) ).

thf(m__731,axiom,
    ( ( aElement0 @ xc )
    & ( aElement0 @ xb )
    & ( aElement0 @ xa ) ) ).

thf(zip_derived_cl61,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl783,plain,
    ( ( xa = xb )
    | ( xb != xb ) ),
    inference(demod,[status(thm)],[zip_derived_cl779,zip_derived_cl61]) ).

thf(zip_derived_cl784,plain,
    xa = xb,
    inference(simplify,[status(thm)],[zip_derived_cl783]) ).

thf(zip_derived_cl823,plain,
    sdtmndtasgtdt0 @ xb @ xR @ xc,
    inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl784]) ).

thf(zip_derived_cl500,plain,
    ! [X3: $i] :
      ( ( xc != X3 )
      | ~ ( sdtmndtasgtdt0 @ xb @ xR @ X3 )
      | ~ ( aElement0 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl871,plain,
    ( ~ ( aElement0 @ xc )
    | ( xc != xc ) ),
    inference('sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl500]) ).

thf(zip_derived_cl60,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl872,plain,
    xc != xc,
    inference(demod,[status(thm)],[zip_derived_cl871,zip_derived_cl60]) ).

thf(zip_derived_cl873,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl872]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM022+4 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.z8ERK4ZRoy true
% 0.13/0.36  % Computer : n017.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Wed Oct  1 13:48:53 EDT 2025
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.56/0.63  % Total configuration time : 435
% 0.56/0.63  % Estimated wc time : 1092
% 0.56/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.93  % Solved by fo/fo5.sh.
% 0.58/0.93  % done 153 iterations in 0.134s
% 0.58/0.93  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.93  % SZS output start Refutation
% See solution above
% 0.59/0.93  
% 0.59/0.93  
% 0.59/0.93  % Terminating...
% 0.59/0.98  % Runner terminated.
% 0.59/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------